Metric Properties between Trapezoidal Intuitionistic Fuzzy Numbers
M. Priyadharsini1, G. Panneerselvam2
1Priyadharsini M*, Department of Mathematics, Bharathiyar College of Engineering and Technology, Thiruvettakudi, India.
2Panneerselvam G, Department of Mathematics, Bharathiyar College of Engineering and Technology, Thiruvettakudi, India.
Manuscript received on 06 August 2019. | Revised Manuscript received on 14 August 2019. | Manuscript published on 30 September 2019. | PP: 3951-3954 | Volume-8 Issue-3 September 2019 | Retrieval Number: C5314098319/2019©BEIESP | DOI: 10.35940/ijrte.C5314.098319
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Generally ranking of fuzzy number is more essential for convertion of fuzzy number to crisp one. In this manuscript, a new approach to rank the trapezoidal intuitionistic fuzzy numbers using (α,β) – cuts is established. The metric distance of the interval numbers is extended to trapezoidal intuitionistic fuzzy numbers. By using both the ranking of trapezoidal intuitionistic fuzzy numbers and (α,β) -cuts there is abundant scope of investigating the numerical problems in optimization.
Keywords: Fuzzy Numbers, Metric Distance, Metric Properties, Trapezoidal Intuitionistic Fuzzy Numbers, (α,β) – cuts.
Scope of the Article: Properties and Mechanics of Concrete